Question

Tony has a rectangular yard he would like to fence. He knows the length of his yard is 3x3+4x2−6x and the width of the yard is 2x2−3x+4 . Using the information provided, determine the length of fencing needed for Tony's yard.

Answer 1

P = 6x³ + 12x² - 18x + 8

Explanation:

Given that:

Length = 3x3+4x2−6x

Width = 2x2−3x+4

The length of fencing needed will be :

Perimeter of rectangle (P) = 2( Length + Width)

P = 2[ (3x3+4x2−6x) + (2x2−3x+4)]

P = 2 (3x³+ (4x² + 2x²) + (-6x - 3x) + 4)

P = 2(3x³ + 6x² - 9x + 4)

P = 6x³ + 12x² - 18x + 8